Some Remarks on Weighted Logarithmic Sobolev Inequality

被引:15
|
作者
Cattiaux, Patrick [1 ]
Guillin, Arnaud [2 ]
Wu, Li-Ming [2 ]
机构
[1] Univ Toulouse 3, Inst Math Toulouse, CNRS UMR 5219, F-31062 Toulouse 09, France
[2] Univ Blaise Pascal, Lab Math, CNRS UMR 6620, F-63177 Aubiere, France
关键词
Lyapunov functions; Talagrand transportation information inequality; logarithmic Sobolev inequality; MARKOV PROCESS EXPECTATIONS; FUNCTIONAL INEQUALITIES; ASYMPTOTIC EVALUATION; PROBABILITY-MEASURES; MODERATE DEVIATIONS; SPECTRAL THEORY; FAST DIFFUSION; CONVERGENCE; HYPERCONTRACTIVITY; STABILITY;
D O I
10.1512/iumj.2011.60.4405
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give here a simple proof of weighted logarithmic Sobolev inequality, for example for Cauchy type measures, with optimal weight, sharpening results of Bobkov-Ledoux [12]. Some consequences are also discussed.
引用
收藏
页码:1885 / 1904
页数:20
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